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The Bohr Model of Hydrogenic Ions

The Bohr Model of Hydrogenic Ions

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<strong>The</strong> <strong>Bohr</strong> Atom 8<br />

which can be written<br />

I œ <br />

# # # # # #<br />

5 ^/ 7/ 5 ^/ 7/<br />

#<br />

œ <br />

# 7@< #P#<br />

<br />

(1.31)<br />

where P is the angular momentum. This demonstrates that the total energy <strong>of</strong> the electron is<br />

inversely proportional to the square <strong>of</strong> the angular momentum. This fact may have led <strong>Bohr</strong> to<br />

postulate that the angular momentum <strong>of</strong> the electron within the atom was quantized, giving<br />

7@< œ P œ 8-98=>+8><br />

<br />

14<br />

Hydrogen Atom Energy Level Diagram<br />

12<br />

10<br />

Energy (eV)<br />

8<br />

6<br />

972.53<br />

949.74<br />

4<br />

1025.72<br />

2<br />

1215.66<br />

0<br />

Wavelengths

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